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Finding the Fourth Proportional to 3,469.41, 5,205.93 and 1,826.10

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Solution

The fourth proportional to 3,469.41, 5,205.93 and 1,826.10 is: 2,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.41 : 5,205.93 = 1,826.10 : x
  2. Step 2: Convert to fraction form
    3,469.41/5,205.93 = 1,826.10/x
  3. Step 3: Cross multiply
    3,469.41x = 5,205.93 × 1,826.10
  4. Step 4: Simplify right side
    3,469.41x = 9,506,548.77
  5. Step 5: Solve for x
    x = 9,506,548.77/3,469.41
  6. Step 6: Final answer
    x = 2,740.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.